volume | PIER Journals

Abstract

This paper presents a simple and alternative approach for the analysis of inductive waveguide microwave components. The technique uses a surface integral equation formulation, in which the contours of the waveguide walls and of the inner obstacles are all discretized using triangular basis functions. In order to avoid the relative convergence problem of other techniques based on mode matching, an alternative port treatment is used. The technique is based on the application of the extinction theorem using the spatial representation of the Green's functions in the terminal waveguides. In addition, the Fast Multipole Method is proposed in order to reduce the computational cost for large problems. Different complex structures are analyzed, including microwave bandpass filters with elliptic transfer functions, waveguide bends and T-junctions. Results show the high accuracy and versatility of the technique derived.

1. Yin, S., T. Valilyeva, and P. Pramanick, "Use of three-dimensional field simulators in the synthesis of waveguide round rod bandpass filters," Int J Microwave and Mil limeter Wave Computer Aided Engineering, Vol. 8, No. 8, 484-497, 1998.
doi:10.1002/(SICI)1099-047X(199811)8:6<484::AID-MMCE8>3.0.CO;2-I

2. Reiter, J. M. and F. Arndt, "Rigorous analysis of arbitrarily shaped H-and E-plane discontinuities in rectangular waveguides by a full-wave boundary contour mode-matching method," IEEE Transactions on Microwave Theory and Techniques, Vol. 43, No. 4, 796-801, 1995.
doi:10.1109/22.375226

3. Rozzi, T., F. Moglie, A. Morini, W. Gulloch, and M. Politi, "Accurate full-band equivalent circuits of inductive posts in rectangular waveguide," IEEE Transactions on Microwave Theory and Techniques, Vol. 40, No. 5, 1000-1009, 1992.
doi:10.1109/22.137409

4. Guglielmi, M., G. Gheri, M. Calamia, and G. Pelosi, "Rigorous multimode network numerical representation of inductive step," IEEE Transactions on Microwave Theory and Techniques, Vol. 42, No. 2, 317-326, 1994.
doi:10.1109/22.275263

5. Auda, H. and R. F. Harrington, "Inductive posts and diaphragms of arbitrary shape and number in a rectangular waveguide," IEEE Transactions on Microwave Theory and Techniques, Vol. 32, No. 6, 606-613, 1984.
doi:10.1109/TMTT.1984.1132736

6. Guglielmi, M., P. Jarry, E. Kerherve, O. Roquebrun, and D. Schmitt, "A new family of all-inductive dual-mode filters," IEEE Transactions on Microwave Theory and Techniques, Vol. 49, No. 10, 1764-1769, 2001.
doi:10.1109/22.954782

7. Esteban, H., S. Cogollos, V. E. Boria, A. A. San Blas, and M. Ferrando, "A new hybrid mode-matching/numerical method for the analysis of arbitrarily shaped inductive obstacles and discontinuities in rectangular waveguides," IEEE Transactions on Microwave Theory and Techniques, Vol. 50, No. 4, 1219-1224, 2002.
doi:10.1109/22.993428

8. Reiter, J. M. and F. Arndt, "Rigorous analysis of arbitrarily shaped H-and E-plane discontinuities in rectangular waveguides by a full wave boundary contour mode matching method," IEEE Transactions on Microwave Theory and Techniques, Vol. 43, No. 4, 796-801, 1995.
doi:10.1109/22.375226

9. Catina, V., F. Arndt, and J. Brandt, "Hybrid surface integral equation/mode-matching method for the analysis of dielectric loaded waveguide filters of arbitrary shape," IEEE Transactions on Microwave Theory and Techniques, Vol. 53, No. 11, 3562-3567, 2005.
doi:10.1109/TMTT.2005.857343

10. Leviatan, Y. and G. S. Sheaffer, "Analysis of inductive dielectric posts in rectangular waveguide," IEEE Transactions on Microwave Theory and Techniques, Vol. 35, No. 1, 48-59, 1987.
doi:10.1109/TMTT.1987.1133594

11. Li, P. G., A. T. Adams, Y. Leviatan, and J. Perini, "Multiple post inductive obstacles in rectangular waveguide," IEEE Transactions on Microwave Theory and Techniques, Vol. 32, No. 4, 365-373, 1984.
doi:10.1109/TMTT.1984.1132685

12. Geng, N., A. Sullivans, and L. Carin, "Multilevel fast multipole algorithm for scattering from conducting targets above or embeded in lossy half space," IEEE Microwave and Wireless Components Letters, Vol. 38, No. 4, 115-125, 2000.

13. Zhao, Z. Q., L. Li, J. Smith, and L. Carin, "Analysis of scattering from very large three dimensional rough surfaces using MLFMM and rat-based analysis," IEEE Antennas and Propagation Magazine, Vol. 47, No. 3, 20-30, 2005.
doi:10.1109/MAP.2005.1532538

14. Melcon, A. A. and J. R. Mosig, "A novel spatial images technique for the analysis of cavity backed antennas," ACES, Vol. 14, No. 3, 1999.

15. Melcon, A. A. and J. R. Mosig, "Two techniques for the efficient numerical calculation of the Green's functions for planar shielded circuits and antennas," IEEE Transactions on Microwave Theory and Techniques, Vol. 48, No. 9, 1492-1504, 2000.
doi:10.1109/22.869000

16. He, J., A. Sullivan, and L. Carin, "Multi-level fast multipole algorithm for general dielectric targets in the presence of a lossy half space," Radio Science, Vol. 36, No. 12, 1271-1285, 2001.
doi:10.1029/2000RS002548

17. Chew, W. C., J.-M. Jin, E. Michielssen, and J. Song, Fast and Efficient Algorithms in Computational Electromagnetics, Chap. 2, 2001.

18. Chew, W. C. and C. C. Lu, "Fast algorithm for solving hybrid integral equation," IEE Proceedings-H, Vol. 140, No. 12, 455-459, 1993.

19. Rao, S. M., D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrarily shape," IEEE Transactions on Antennas and Propagation, Vol. 30, No. 5, 409-418, 1982.
doi:10.1109/TAP.1982.1142818

20. Guglielmi, M., G. Gheri, and A. A. Melcon, CAD of Tunnning- Less Band-Pass Filters, 1624, 1991.

Dr. Francisco Perez Soler

Dr. Fernando Quesada Pereira

Mr. Juan Pascual-Garcia

Dr. David Canete Rebenaque

Dr. Alejandro Alvarez Melcon